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Finding the Third Proportional to 38,351,907 and 82,395,846

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Solution

The third proportional to 38,351,907 and 82,395,846 is: 177,020,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,351,907 : 82,395,846 = 82,395,846 : x
  2. Step 2: Convert to fraction form
    38,351,907/82,395,846 = 82,395,846/x
  3. Step 3: Cross multiply
    38,351,907x = 82,395,846 × 82,395,846
  4. Step 4: Simplify right side
    38,351,907x = 6,789,075,438,055,716
  5. Step 5: Solve for x
    x = 6,789,075,438,055,716/38,351,907
  6. Step 6: Final answer
    x = 177,020,543.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.